SOLUTION: The sum of two numbers is 16 and their product is 38. What are the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The sum of two numbers is 16 and their product is 38. What are the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 246967: The sum of two numbers is 16 and their product is 38. What are the numbers.
Found 2 solutions by Jeff Gordon, checkley77:
Answer by Jeff Gordon(65) About Me  (Show Source):
You can put this solution on YOUR website!
It could be more than one solution here.

8 X 2 = 16
2 X8 = 16

4 X 4 = 16


Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=16 or x=16-y
xy=38
(16-y)y=38
16y-y^2=38
-y^2+16y-38=0
y^2-16y+38=0
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
y=(16+-sqrt[16^2-4*1*38])/2*1
y=(16+-sqrt[256-152])/2
y=(16+-sqrt104)/2
y=(16+-10.2)/2
y=(16+10.2)/2
y=26.2/2
y=13.1 ans.
y=(16-10.2)/2
y=5.8/2
y=2.9 ans.
proof:
13.1+2.9=16
16=16
13.1*2.9=38
38~38